Abou El-Azm Aly A, Nicolleau F
Department of Mechanical Engineering, The University of Sheffield, Sheffield S1 3JD, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jul;78(1 Pt 2):016310. doi: 10.1103/PhysRevE.78.016310. Epub 2008 Jul 22.
We study the dispersion of heavy particle sets, triangle and tetrahedron, in an isotropic and incompressible three-dimensional turbulent flow. The turbulent velocity field is generated using kinematic simulation, which allows us to vary the inertial range and to reach large values of the Reynolds numbers. We study the time evolution of the parameters characterizing the geometry, the size and shape of the triangle and tetrahedron. The Lagrangian correlations of the sets' size, area or volume, are also studied. Different initial separations between particles, inertial ranges, Stokes numbers, and particle drift velocities are considered. We found that the Reynolds number has no effect on the shape evolution of the triangle and tetrahedron provided that the initial distance between the particles is larger than the Kolmogorov length scale.
我们研究了重粒子集（三角形和四面体）在各向同性且不可压缩的三维湍流中的扩散情况。湍流速度场通过运动学模拟生成，这使我们能够改变惯性范围并达到大雷诺数。我们研究了表征三角形和四面体几何形状、大小和形状的参数的时间演化。还研究了粒子集大小、面积或体积的拉格朗日相关性。考虑了粒子之间不同的初始间距、惯性范围、斯托克斯数和粒子漂移速度。我们发现，只要粒子之间的初始距离大于科尔莫戈罗夫长度尺度，雷诺数对三角形和四面体的形状演化就没有影响。
